Solve -16/7+9/7*2-2/7*3+2/7*4

$$- \frac { 16 } { 7 } + \frac { 9 } { 7 } \times 2 - \frac { 2 } { 7 } \times 3 + \frac { 2 } { 7 } \times 4$$

Evaluate

$$\frac{4}{7}\approx 0.571428571$$

Solution Steps

Express \frac{9}{7}\times 2 as a single fraction.

$$-\frac{16}{7}+\frac{9\times 2}{7}-\frac{2}{7}\times 3+\frac{2}{7}\times 4$$

Multiply 9 and 2 to get 18.

$$-\frac{16}{7}+\frac{18}{7}-\frac{2}{7}\times 3+\frac{2}{7}\times 4$$

Since -\frac{16}{7} and \frac{18}{7} have the same denominator, add them by adding their numerators.

$$\frac{-16+18}{7}-\frac{2}{7}\times 3+\frac{2}{7}\times 4$$

Add -16 and 18 to get 2.

$$\frac{2}{7}-\frac{2}{7}\times 3+\frac{2}{7}\times 4$$

Express \frac{2}{7}\times 3 as a single fraction.

$$\frac{2}{7}-\frac{2\times 3}{7}+\frac{2}{7}\times 4$$

Multiply 2 and 3 to get 6.

$$\frac{2}{7}-\frac{6}{7}+\frac{2}{7}\times 4$$

Since \frac{2}{7} and \frac{6}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-6}{7}+\frac{2}{7}\times 4$$

Subtract 6 from 2 to get -4.

$$-\frac{4}{7}+\frac{2}{7}\times 4$$

Express \frac{2}{7}\times 4 as a single fraction.

$$-\frac{4}{7}+\frac{2\times 4}{7}$$

Multiply 2 and 4 to get 8.

$$-\frac{4}{7}+\frac{8}{7}$$

Since -\frac{4}{7} and \frac{8}{7} have the same denominator, add them by adding their numerators.

$$\frac{-4+8}{7}$$

Add -4 and 8 to get 4.

$$\frac{4}{7}$$

Factor

$$\frac{2 ^ {2}}{7} = 0.5714285714285714$$